Nilpotency and Theory of L-Subgroups of an L-Group

Abstract

In this paper, the notion of commutator is modified and extended to L-setting. Also, the notion of descending central series is introduced which is used to formulate the important notion of nilpotent L-subgroup of an L-group. Moreover, the level subset characterization for the notion of nilpotent L-subgroup is provided.

Keywords

• L-Algebra
• L-Subgroup
• Generated L-subgroup
• Normal L-subgroup
• Nilpotent L-subgroup